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4 papers · 1 filter
A stabilized cut finite element method for partial differential equations on surfaces: The Laplace-Beltrami operator
Erik Burman, Peter Hansbo, Mats G. Larson
We consider solving the Laplace-Beltrami problem on a smooth two dimensional surface embedded into a three dimensional space meshed with tetrahedra. The mesh does not respect the s…
Fourier Methods for Harmonic Scalar Waves in General Waveguides
Anders Andersson, Borje Nilsson, Thomas Biro
A set of semi-analytical techniques based on Fourier analysis is used to solve wave scattering problems in variously shaped waveguides with varying normal admittance boundary condi…
Locking Free Quadrilateral Continuous/Discontinuous Finite Element Methods for the Reissner-Mindlin Plate
Peter Hansbo, Mats G. Larson
We develop a finite element method with continuous displacements and discontinuous rotations for the Mindlin-Reissner plate model on quadrilateral elements. To avoid shear locking,…
Variational Formulation of Curved Beams in Global Coordinates
Peter Hansbo, Mats G. Larson, Karl Larsson
In this paper we derive a variational formulation for a linear curved beam which is natively expressed in global Cartesian coordinates. During derivation the beam midline is assume…